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Finding the Fourth Proportional to 7,649.68, 11,476.32 and 3,032.68

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Solution

The fourth proportional to 7,649.68, 11,476.32 and 3,032.68 is: 4,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.68 : 11,476.32 = 3,032.68 : x
  2. Step 2: Convert to fraction form
    7,649.68/11,476.32 = 3,032.68/x
  3. Step 3: Cross multiply
    7,649.68x = 11,476.32 × 3,032.68
  4. Step 4: Simplify right side
    7,649.68x = 34,804,006.14
  5. Step 5: Solve for x
    x = 34,804,006.14/7,649.68
  6. Step 6: Final answer
    x = 4,549.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.